Question

I really need help on this​

Answer 1

`\boxed{\textsf{ The area of the shaded region is\textbf{ 495 ft $^2 $ } .}}`

`\boxed{\textsf{ The area of the unshaded region is \textbf{130 ft$^2$ } .}}`

Explanation:

A square is given to us of dimensions 25ft × 25ft . And there is a parallelogram in between of height 10ft and lenght 13 ft . We need to find the area of the shaded and the unshaded region .

So , we know area of square as ,

`\qquad\boxed{\boxed{\sf Area_((square))= (side)^2}}`

Area of parallelogram as ,

`\qquad\boxed{\boxed\sf Area_((}`

Now here we can see that the area of shaded region is equal to the difference of area of square and parallelogram .

`\sf\implies Area_((shaded))= Area_((square))- Area_((parallelogram)) \\\\\sf\implies Area_((shaded))= (25ft)^2 - 13 ft * 10ft \\\\\sf\implies Area_((shaded))= 625 ft^2 - 130ft^2 \\\\\sf\implies \boxed{\pink{\frak{ Area_((shaded))= 495 ft^2 }}}`